Answer:
They will meet in 1.8 hours.
Step-by-step explanation:
Given that, distance between trains = 306 miles
Let they take time
to meet each other.
Speed of first train = 90 mph
Speed of second train = 80 mph
Let distance traveled by first train =
miles
Formula for distance:
![Distance = Speed \times Time](https://tex.z-dn.net/?f=Distance%20%3D%20Speed%20%5Ctimes%20Time)
Distance traveled by first train, ![D_1 = 90t](https://tex.z-dn.net/?f=D_1%20%3D%2090t)
Let distance traveled by first train =
miles
Formula for distance:
![Distance = Speed \times Time](https://tex.z-dn.net/?f=Distance%20%3D%20Speed%20%5Ctimes%20Time)
Distance traveled by first train, ![D_2 = 80t](https://tex.z-dn.net/?f=D_2%20%3D%2080t)
Total distance traveled is 306 miles.
i.e.
![D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}](https://tex.z-dn.net/?f=D_1%2BD_2%3D306%5C%5C%5CRightarrow%2090t%20%2B80t%3D306%5C%5C%5CRightarrow%20170t%3D306%5C%5C%5CRightarrow%20t%20%3D%5Cdfrac%7B306%7D%7B170%7D%5C%5C%5CRightarrow%20%5Cbold%7Bt%3D1.8%5C%20hr%7D)
They will meet in 1.8 hours.